832308963668 has 288 divisors, whose sum is σ = 1988853081600. Its totient is φ = 296346968064.

The previous prime is 832308963571. The next prime is 832308963671. The reversal of 832308963668 is 866369803238.

832308963668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×832308963668² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 832308963668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332523305 + ... + 332525807.

Almost surely, 2^832308963668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832308963668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994426540800).

832308963668 is an abundant number, since it is smaller than the sum of its proper divisors (1156544117932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

832308963668 is a wasteful number, since it uses less digits than its factorization.

832308963668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 62.

The spelling of 832308963668 in words is "eight hundred thirty-two billion, three hundred eight million, nine hundred sixty-three thousand, six hundred sixty-eight".